Frontiers in Physics

The Physics of the Law

Legal Systems Through the Prism of Complexity Science

Online Conference
November 12 and 13, 2020

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The 2020 Physics of the Law Conference will take place online on November 12 and 13, 2020 and is linked to the Research Topic “The Physics of the Law” of Frontiers in Physics. The Conference is aimed at contributors to the special issues, practitioners and students active at the interface between legal studies and complexity science.

In recent years, a growing body of research understands the interaction of law and society as a complex adaptive system. There has been growth in social, political and economic complexity which has in turn manifested in legal complexity. In support of this view, in extant academic literature, scholars have leveraged techniques and tools from statistical physics, complexity and computational social science to both characterize and predict the behavior of various legal institutions.

In part to confront the scale and complexity of the law, the commercial sphere has seen significant growth in the advent of Legal Tech and use of applied disciplines such as processing engineering and design.

In sum, how interactions between individuals are shaped by norms, and what are the emerging (“collective”) phenomena in the highly interconnected “legal” landscape - interpreted in the broadest sense - constitute the core questions that this Research Topic will address.

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This Research Topic aims to collect scientific contributions from scholars working at the interface between law and complexity science. We also welcome contributions from colleagues interested in the scientific challenges posed by the use of technology as a tool to tame the complex web of interactions between individuals and norms in the "legal" domain. From the question of how complex network theory applies to items of legislation to the use of agent-based models for democratic and representative systems, the spectrum of real-life issues around how normed societies work is very broad and of paramount interest. The collection of papers in this Research Topic is expected to become a state-of-the-art reference point for scientists interested in the application of robust modeling and data analysis to all aspects of the legal and political world. It will also offer a specialized and thematic venue for computational social scientists and political scientists with a quantitative background, and is expected to play a pivotal role in fostering cross-fertilization between fields - statistical physics, computational social science, politics and legal studies - that have traditionally followed rather separate trajectories.

Complex Societies and the Growth of the Law

We welcome Original Research and Reviews where complexity science and quantitative approaches are employed to advance knowledge on the following (non-exhaustive) list of topics:

  • Complexity of legal texts.
  • Voting systems, including modeling and robust data analysis.
  • Dynamics of democratic systems, including agent-based modeling and collective behavior of normed societies.
  • Network-theoretical analysis of contracts, items of legislation, and normative systems.
  • Topics at the interface between law and probabilistic reasoning.
  • Quantitative analysis of LawTech and FinTech ecosystems, including emergence and development of new technologies (e.g. smart contracts).
  • Machine-learning approaches to data mining from legal and political texts.
  • Effect of regulations on financial markets (dark trading, liquidity and competition, traders' behavior, ...).
  • Impact of digitalization and automation on society (e.g. legal services) as “complexity-reduction” engines.
  • Algorithmic decision-making and human-machine assisted decision making.
  • Political controversy and information spreading on social networks.
  • Science in the Courtroom: juries, trials, and quantitative aspects of the administration of justice.


The conference will take place on Nov 12 and 13, 2020, beginning at 2:00 p.m. UTC (10:00 p.m. Singapore Standard Time / 09:00 a.m. U.S. Eastern Time / 3:00 p.m. Central European Time) via Zoom.

Download our schedule:

Topic Editors

Pierpaolo Vivo
Pierpaolo Vivo
Senior Lecturer in Disordered Systems
Future Leaders Fellow
Director of the Quantitative and Digital Law Lab

King's College, London, United Kingdom

Dan Katz
Daniel Martin Katz
Professor @ Chicago-Kent/IIT
Academic Director @ Bucerius Center for Legal Technology and Data Science

Chicago-Kent College of Law, Chicago, Ill.
Bucerius Law School, Hamburg, Germany

J.B. Ruhl
J.B. Ruhl
David Daniels Allen Distinguished Chair of Law Director, Program on Law and Innovation · Co-director, Energy, Environment and Land Use Program

Vanderbilt University, Nashville, Tenn.

Contact us

For inquiries about the Conference or the Research Topic, contact Pierpaolo Vivo at For administrative questions about attendee registration, webinar software etc. contact Larry Gerlach at

Register for the conference

Please note: This is a two-day conference. To receive an invitation to both days of the conference, please check both boxes in the form below (☑️ Nov 12 and ☑️ Nov 13).

To register, please fill out the following form: